450348914741248

Names of 450348914741248

• Cardinal: 450348914741248 can be written as Four hundred fifty trillion, three hundred forty-eight billion, nine hundred fourteen million, seven hundred forty-one thousand, two hundred forty-eight.

Scientific notation

• Scientific notation: 4.50348914741248 × 10¹⁴

Factors of 450348914741248

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 157

Divisors of 450348914741248

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 4 8 16 29 32 37 58 64 74 89 116 128 148 178 232 256 296 356 464 512 592 712 841 928 1024 1073 1184 1369 1424 1682 1856 2048 2146 2368 2581 2738 2848 3293 3364 3712 4096 4292 4736 5162 5476 5696 6586 6728 7424 8584 9472 10324 10952 11392 13172 13456 14848 17168 18944 20648 21904 22784 24389 26344 26912 29696 31117 34336 37888 39701 41296 43808 45568 48778 50653 52688 53824 59392 62234 68672 74849 75776 79402 82592 87616 91136 95497 97556 101306 105376 107648 118784 121841 124468 137344 149698 151552 158804 165184 175232 182272 190994 195112 202612 210752 215296 243682 248936 274688 299396 317608 330368 350464 364544 381988 390224 405224 421504 430592 487364 497872 549376 598792 635216 660736 700928 763976 780448 810448 843008 861184 902393 974728 995744 1098752 1151329 1197584 1270432 1321472 1401856 1468937 1527952 1560896 1620896 1686016 1722368 1804786 1949456 1991488 2170621 2197504 2302658 2395168 2540864 2642944 2769413 2803712 2937874 3055904 3121792 3241792 3372032 3444736 3533389 3609572 3898912 3982976 4341242 4395008 4508117 4605316 4790336 5081728 5285888 5538826 5607424 5875748 6111808 6243584 6483584 6744064 7066778 7219144 7797824 7965952 8682484 9016234 9210632 9580672 10163456 10571776 11077652 11751496 12223616 12487168 12967168 13488128 14133556 14438288 15595648 15931904 17364968 18032468 18421264 19161344 20326912 22155304 23502992 24447232 24974336 25934336 28267112 28876576 31191296 31863808 33388541 34729936 36064936 36842528 38322688 40653824 42599173 44310608 47005984 48894464 49948672 51868672 56534224 57753152 62382592 63727616 66777082 69459872 72129872 73685056 76645376 80312977 81307648 85198346 88621216 94011968 97788928 99897344 102468281 103737344 113068448 115506304 124765184 127455232 130735393 133554164 138919744 144259744 147370112 153290752 160625954 162615296 170396692 177242432 188023936 195577856 204936562 207474688 226136896 231012608 249530368 261470786 267108328 277839488 288519488 294740224 306581504 321251908 340793384 354484864 376047872 391155712 409873124 452273792 462025216 499060736 522941572 534216656 555678976 577038976 589480448 642503816 681586768 708969728 752095744 819746248 904547584 924050432 1045883144 1068433312 1111357952 1154077952 1178960896 1235376017 1285007632 1363173536 1417939456 1504191488 1639492496 1809095168 1848100864 2091766288 2136866624 2222715904 2308155904 2357921792 2470752034 2570015264 2726347072 2835878912 2971580149 3008382976 3278984992 3618190336 3696201728 3791326397 4183532576 4273733248 4445431808 4616311808 4715843584 4941504068 5140030528 5452694144 5671757824 5943160298 6016765952 6557969984 7236380672 7582652794 8367065152 8547466496 8890863616 9232623616 9883008136 10280061056 10905388288 11343515648 11886320596 13115939968 14472761344 15165305588 16734130304 17094932992 18465247232 19766016272 20560122112 21810776576 23772641192 26231879936 30330611176 33468260608 34189865984 39532032544 41120244224 43621553152 47545282384 52463759872 60661222352 66936521216 68379731968 79064065088 82240488448 87243106304 95090564768 104927519744 109948465513 121322444704 133873042432 136759463936 158128130176 164480976896 174486212608 190181129536 209855039488 219896931026 242644889408 267746084864 316256260352 328961953792 380362259072 419710078976 439793862052 485289778816 535492169728 632512520704 760724518144 879587724104 970579557632 1265025041408 1521449036288 1759175448208 1941159115264 2530050082816 3042898072576 3518350896416 3882318230528 5060100165632 6085796145152 7036701792832 7764636461056 12171592290304 14073403585664 15529272922112 28146807171328 56293614342656 112587228685312 225174457370624 450348914741248
• Sum of all divisors σ(n): 969431093964000
• Sum of proper divisors (its aliquot sum) s(n): 519082179222752
• 450348914741248 is an abundant number, because the sum of its proper divisors (519082179222752) is greater than itself. Its abundance is 68733264481504

Bases of 450348914741248

• Binary: 1100110011001011100000111000101101001000000000000₂
• Hexadecimal: 0x1999707169000
• Base-36: 4FMVFO67LS

Squares and roots of 450348914741248

• 450348914741248 squared (450348914741248²) is 202814145008619860158792597504
• 450348914741248 cubed (450348914741248³) is 91337130098806054020693567940150205970644992
• The square root of 450348914741248 is 21221425.8413813467
• The cube root of 450348914741248 is 76650.7438009953

Scales and comparisons

• 450,348,914,741,248 seconds is equal to 14,319,702 years, 24 weeks, 2 days, 9 hours, 27 minutes, 28 seconds.
• To count from 1 to 450,348,914,741,248 would take you about thirty-five million, seven hundred ninety-nine thousand, two hundred fifty-six years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 450348914741248 cubic inches would be around 6387.6 feet tall.

Recreational maths with 450348914741248

• 450348914741248 backwards is 842147419843054
• 450348914741248 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 450348914741248's digits is 64
• More coming soon!